Hey there :)
9 cm
_ _ _ _ _ _ _ _ _
| |
| |
| | 9 cm
| |
| _ _ _ _ _ _ _ _ _|
a) Formula of the perimeter of a square is
P = 4 x side
= 4 x 9
= 36 cm
b) Formula of the area of a square is
A = side²
= 9²
= 81 cm²
_ _
_ _ _|_ _|_ _ _
| |
__| |__
|__| |__|
| |
|_ _ _ _ _ _ _ _ |
|_ _|
Small squares are [tex] \frac{1}{3} [/tex] the side of the original square
[tex] \frac{1}{3} [/tex] x 9 = 3 cm
The perimeter of one small square =
P = 4 x 3 = 12 cm
Perimeter of 4 squares = 4 x perimeter of one square = 4 x 12 = 48 cm
The area of one small square =
A = 4² = 16 cm²
Area of 4 squares = 4 x area of one square = 4 x 16 = 64 cm²
c) Perimeter of new shape
Perimeter of original square + perimeter of 4 squares
36 + 48
84 cm
d) Area of new shape
Area of original square + area of 4 squares
81 + 64
145 cm²
